If two lines are perpendicular to the third line, then those two lines are:

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Parallel to each other

Perpendicular to each other

Either parallel or perpendicular

Neither parallel nor perpendicular

answer is A.

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Detailed Solution

Let the diagram in such a way that P and Q are perpendicular to the line R be,
seo

From the above figure it is clear that the lines P and Q are parallel to the line R.
Since line P and line Q are at right angles to line R, they are actually parallel to each other.
According to the Perpendicular Transversal Theorem, a crossbar in a plane is perpendicular to a third line if it is perpendicular to one or two parallel lines.
Line P and line Q are perpendicular if line P is parallel to line R and line Q is also parallel to line R.
Because two lines are parallel to each other if they are perpendicular to a third line.
They would never intersect because parallel lines never cross. Due to their lack of contact or interaction, they are said to be parallel to each other.
So the correct option is 1.

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